(v^2+10v+21)(4v-24)=0

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Solution for (v^2+10v+21)(4v-24)=0 equation: 


Simplifying
(v2 + 10v + 21)(4v + -24) = 0

Reorder the terms:
(21 + 10v + v2)(4v + -24) = 0

Reorder the terms:
(21 + 10v + v2)(-24 + 4v) = 0

Multiply (21 + 10v + v2) * (-24 + 4v)
(21(-24 + 4v) + 10v * (-24 + 4v) + v2(-24 + 4v)) = 0
((-24 * 21 + 4v * 21) + 10v * (-24 + 4v) + v2(-24 + 4v)) = 0
((-504 + 84v) + 10v * (-24 + 4v) + v2(-24 + 4v)) = 0
(-504 + 84v + (-24 * 10v + 4v * 10v) + v2(-24 + 4v)) = 0
(-504 + 84v + (-240v + 40v2) + v2(-24 + 4v)) = 0
(-504 + 84v + -240v + 40v2 + (-24 * v2 + 4v * v2)) = 0
(-504 + 84v + -240v + 40v2 + (-24v2 + 4v3)) = 0

Combine like terms: 84v + -240v = -156v
(-504 + -156v + 40v2 + -24v2 + 4v3) = 0

Combine like terms: 40v2 + -24v2 = 16v2
(-504 + -156v + 16v2 + 4v3) = 0

Solving
-504 + -156v + 16v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-126 + -39v + 4v2 + v3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-126 + -39v + 4v2 + v3)' equal to zero and attempt to solve:

Simplifying
-126 + -39v + 4v2 + v3 = 0

Solving
-126 + -39v + 4v2 + v3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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